Atkin-Lehner |
3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165j |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4233600 |
Modular degree for the optimal curve |
Δ |
-9.2253864498584E+21 |
Discriminant |
Eigenvalues |
2 3+ 5- 1 -3 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-805510,-4629255369] |
[a1,a2,a3,a4,a6] |
j |
-11975039274594304/1911280609996875 |
j-invariant |
L |
2.3094129320573 |
L(r)(E,1)/r! |
Ω |
0.057735323311639 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3705b1 |
Quadratic twists by: 13 |